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Finding the Third Proportional to 627,011 and 960,757

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Solution

The third proportional to 627,011 and 960,757 is: 1,472,149.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    627,011 : 960,757 = 960,757 : x
  2. Step 2: Convert to fraction form
    627,011/960,757 = 960,757/x
  3. Step 3: Cross multiply
    627,011x = 960,757 × 960,757
  4. Step 4: Simplify right side
    627,011x = 923,054,013,049
  5. Step 5: Solve for x
    x = 923,054,013,049/627,011
  6. Step 6: Final answer
    x = 1,472,149.63

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.